Lieb type convexity for positive operator monotone decreasing functions
Functional Analysis
2021-06-18 v2
Abstract
We prove Lieb type convexity and concavity results for trace functionals associated with positive operator monotone (decreasing) functions and certain monotone concave functions. This gives a partial generalization of Hiai's recent work on trace functionals associated with power functions.
Cite
@article{arxiv.2106.01095,
title = {Lieb type convexity for positive operator monotone decreasing functions},
author = {Hans Henrich Neumann and Makoto Yamashita},
journal= {arXiv preprint arXiv:2106.01095},
year = {2021}
}
Comments
v2: minor changes, 6 pages, v1: 5 pages